Debates Tensiones Torno Formacion Docente Notas Para Sociologia Formacion Lozano 01
Primer Encuentro de Formacion Docente
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This course is offered in Chile as part of a Certificate in Mathematics Teaching programme. This presentation is for MAP101 Fundamentals of Singapore Mathematics Curriculum. It is a study of the problem solving approach and an emphasis on thinking - visualization, generalization and number sense. Plus learning theories such as Dienes and Bruner.
Transcript of Primer Encuentro de Formacion Docente
MAP 101 Fundamentals in Singapore Mathematics Curriculum
Dr Yeap Ban Har [email protected]
Marshall Cavendish Institute Singapore
Singapore Mathematics: Focus on Thinking
excellentvehicleanforthe
development&improvement of
a person’s intellectual
competenciesMinistry of Education Singapore 2006
110 g
290 g
110 g180 g
Bella puts 180 g brown sugar on the dish.
110 g
290 g
110 g180 g
2 units = 180 g
1 unit = 90 g
3 units = 270 g
Bella puts 270 g brown sugar on the dish.
on an identical dish
Singapore Mathematics focuses on the ability to visualize. For example, bar models are used extensively.
Singapore MathVisualization
Method 1The positions of 11, 22, 33 are at C, H, E respectively. Positions of multiples of 11 can be located.
Method 2The positions of numbers ending with 1 and 6 can be located ta either ends. Thus 91 or 96 can be located. Subsequently, 99 can be located.
Method 3Numbers ending with 9 are at E. So, 99 is at E too.
Method 4The position for 99 can be found by writing out all the numbers but this is not efficient method.
Method 1The letters under A and I are even. So 99 cannot be there.
Method 2The positions of numbers ending with 9 form a diagonal pattern.
Method 3The numbers under first D increases by 8. Thus 17 + 80 = 97 is under first D. The position for 99 can be worked out.
Method 4The positions of multiples of 8 I is definitely under A. 8 x 12 = 96 is under A. The position of 99 can be worked out.
Method 5Numbers under V is 1 less than multiples of 4. So, 2011 (1 less than 2012) is under V. 99 is less than 100.
Method 2The positions of numbers ending with 9 form a diagonal pattern.
In December 2010, another group of teachers in Chile who did this course also came up with a similar method.
Another MethodIn a course done in December 2010 with another group of Chilean teachers, there was a method that involves division. For Cheryl it was 99 : 10. For David, it was 99 : 8. Are you able to figure out that method?
Singapore MathPatterns & Generalization
Singapore Mathematics: Focus on Problem Solving
CPA Approach based on Jerome Bruner was used to learn division of fractions – using paper folding and subsequent drawing.
Singapore MathLearn New Concept Through
Problem Solving
Singapore MathDrill-and-Practice Through
Problem Solving
Singapore MathApplying Knowledge in
Problem Solving
Learning Theories
How many 4s are there in 12? 12 ÷ 4 = 3
